Geometry Unit 2 Test Review

If the conditional statement was "If an angle is acute, then it has a measure less than 90°.", which type of statement is the following?

If an angle is not acute, then it does not have a measure less than 90°.

• Inverse

• Contrapositive

• Biconditional

• Converse

If the conditional statement was "If an angle is acute, then it has a measure less than 90°.", which type of statement is the following?

If an angle has a measure less than 90°, then it is acute.

• Converse

• Contrapositive

• Biconditional

• Inverse

If the conditional statement was "If an angle is acute, then it has a measure less than 90°.", which type of statement is the following?

If an angle does not have a measure less than 90°, then it is not acute.

• Converse

• Biconditional

• Inverse

• Contrapositive

Which of the following is a valid conditional statement for the following phrase:

An acute angle has a measure less than 90°.

• If an angle does not measure less than 90°, then it is not acute.

• If an angle is acute, then it has a measure less than 90°.

• If an angle is acute, then it is acute.

• If an angle is not acute, then it does not have a measure less than 90°.

Which of the following is the BICONDITIONAL of the statement below?

If it is water, then it is wet.

• If it is not wet, then it is not water.

• If it is wet, then it is water.

• It is water if and only if (iff) it is wet.

• There is no biconditional statement.

Which of the following is the CONTRAPOSITIVE of the statement below?

If a species is a fish, then it lives in

water.

• If a species lives in water, then it is a fish.

• If a species is not a fish, then it does not live in water.

• If a species does not live in water, then it is not a fish.

• There is not contrapositive of the statement.

Which of the following is true about the conditional statement below?

If a man is 7 feet tall, then he plays basketball.

• Hypothesis: THEN he plays basketball

  Conclusion: IF a man is 7 feet tall

• Hypothesis: he plays basketball

  Conclusion: a man is 7 feet tall

• Hypothesis: a man is 7 feet tall

  Conclusion: he plays basketball

• Hypothesis: IF a man is 7 feet tall

  Conclusion: THEN he plays basketball

Solve: 3x + 2 = 23 - 4x
Step 1: 7x + 2 = 23 
What is the justification for Step 1's statement?

• Distributive property

• 
  Subtraction property of equality

• Addition property of equality

• Simplifying

Solve: 3x + 2 = 23 - 4x
Step 1: 7x + 2 = 23 
Step 2: 7x = 21
Step 3: x = 3
What is the justification for Step 3's statement?

• Subtraction property of equality

  
  

• Division property of equality

  
  

• Multiplication property of equality

  
  

• Addition property of equality

  
  

Given: m∠LAN = 30⁰ , m∠1 = 15⁰
Prove: AM bisects ∠LAN
Step 1: m∠LAN = 30⁰ 
What is the justification for Step 1?

• Given

• Substitution

• Angle Addition Postulate

• Definition of Congruent Angles